Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation

Title:

Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation

Creator:

Fang, Jian-Ping

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:48fac2c3-81dd-4089-84f4-fd3ef2edc7c0
uuid:48fac2c3-81dd-4089-84f4-fd3ef2edc7c0
issn:0011-4642

Subject:

matematika, derivace funkce, mathematics, derivatives (mathematics), U(n + 1) group, multiple basic hypergeometric series, basic hypergeometric series, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We derive two identities for multiple basic hyper-geometric series associated with the unitary U(n+1) group. In order to get the two identities, we first present two known q-exponential operator identities which were established in our earlier paper. From the two identities and combining them with the two U(n + 1) q-Chu-Vandermonde summations established by Milne, we arrive at our results. Using the identities obtained in this paper, we give two interesting identities involving binomial coefficients. In addition, we also derive two nontrivial summation equations from the two multiple extensions., Jian-Ping Fang., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

395-407

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false